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Thermal Insulation with Bubbles is Better

As a nuclear engineer, I’ve attended many thermal engineering classes. Whereas I’ve enjoyed learning techniques to enhance heat transfer, I’ve also found fascinating those applications where it is important to reduce heat transfer using the right choice and combination of materials and shapes. The design of this is vital for many industries, including the building and aerospace industries. Lately, I came across an interesting example of thermal insulation in the most mundane of these things: clothing design. I had to buy a wetsuit and couldn’t resist the temptation to simulate and understand its thermal insulation properties.

Wetsuits and Foamed Neoprene

Modern wetsuits are made of neoprene, and they don’t actually prevent us from getting wet — instead, they are designed to keep us warm. If a wetsuit is tight enough, the layer of water that fills the gap between the wetsuit and our skin will be so thin that it will readily be warmed up by our body heat. After the initial chill, the insulation offered by the foam neoprene allows us to swim and enjoy the water without experiencing its true temperature. In order to maintain its thermal insulation properties while in use, wetsuits are designed to prevent what is called flushing — or cold water entering the wetsuit through the ankles, wrists, and neck.

Why does foamed neoprene offer such good thermal insulation? Foamed neoprene contains small bubbles of nitrogen gas. The presence of such a gas with a very low thermal conductivity reduces heat transfer by almost an order of magnitude, compared to having the skin directly in contact with water. In addition to its favorable thermal properties, there are almost no convection currents in a gas trapped in such tiny bubbles. Heat transport in foamed neoprene occurs mainly through diffusion, a slow transport mechanism that reduces heat loss from our body.

Temperature dependent, taken from the Material Library
available in COMSOL Multiphysics

Comfortable fabric (nylon)

0.2 mm

Same as above

Titanium metal oxide

0.05 mm

Same as above

Neoprene

3 mm

Same as above

Nitrogen bubbles

0.025 mm

Same as above

Resistant fabric (nylon)

0.2 mm

Same as above

The values provided in the table above are based on data that I found in an online search. If needed, or if I come across new information or specifications, I can test different materials and geometrical properties with just a few clicks. Additionally, my model is fully parameterized. That’s one of the main advantages of simulation — it enables the verification and optimization of a design right on the computer, before launching an expensive experimental campaign. The model geometry is depicted below, in Figure 1.

Boundary conditions and initial temperature used in the model are summarized below:

Body Heat Flux, left boundary

Sea Temperature, right boundary

Initial Temperature, all domains

100 W/2 m2 (Ref. 2 and 3)

17.2°C (Ref. 4, September)

36.1°C (Ref. 5)

The simulation results shown in Figure 2 confirm that having a foamed neoprene wetsuit, with the nitrogen bubble insulation, is a good choice, especially if we’re in cold water for more than five minutes. We have three minutes more before we reach a skin temperature of 24°C, with respect to a non-foamed neoprene wetsuit.

Figure 2. Skin temperature vs. time.

Figures 3 and 4 provide more details about the temperature profile along a horizontal cut line and the temperature distribution across the whole simulation domain, respectively.

Figure 3. From top to bottom: model geometry with postprocessing cut line (in red); temperature values along the cut line at t= 2, 6, and 9 min.

Heat Transfer Modeling Tips

I’m sure you noticed in Figure 1 that I’ve actually drawn in the nitrogen bubbles. It would also have been possible to have simulated the bubbles by applying the technique for simulating Homogenized Pore Scale Flow and Thermal Conduction, which describes how to represent the bubbles with their equivalent volume-averaged thermal properties, allowing them to be simulated without drawing them or losing too much in accuracy. I could have simulated them without individually drawing all the domains thanks to boundary conditions in COMSOL that are specifically designed to model domains that are geometrically much smaller than the rest of the model. See Figures 5, 6, and 7 for more details about the options available in the Heat Transfer Module.

You can then use the values and conditions discussed in the blog post to reproduce the model, it should be fairly easy.

Let me know if you need anything else and as usual, please contact support@comsol.com if you have any technical questions.

Best regards,
Valerio

Jeffrey Moran
June 6, 2016 7:24 pm

As it turns out, I don’t have the Heat Transfer Module, so I can’t use the Thin Layer feature with the “Conductive” option (the only choice is “Resistive”). I should still be able to re-create this model with all of the thin layers meshed, however.

Thanks for your response!

Jeffrey Moran
June 6, 2016 7:45 pm

Actually, I do have one more question for you. In the blog post you mentioned a feature called “Homogenized Pore Scale Flow and Thermal Conduction.” However, when I clicked on the link it just took me to the models page, and I searched through the entire model library but wasn’t able to find a model demonstrating this feature. Is it possible to obtain an MPH file demonstrating this? Does it require the Heat Transfer module?